Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140001 | Mathematics and Computers in Simulation | 2009 | 11 Pages |
Abstract
In this work, we propose a delayed predator–prey model with impulsively diffusive prey between two patches. Using the stroboscopic map of the discrete dynamical system, we obtain the globally attractive condition of predator-extinction periodic solution of the system. We also obtain the permanent condition of the system by the theory of impulsive delay differential equation. Our results indicate that the discrete time delay has influence to the dynamical behaviors of the system. Finally, the numerical analysis is inserted to illustrate the results.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Jianjun Jiao, Xiaosong Yang, Shaohong Cai, Lansun Chen,